Finite modular symmetries and the strong CP problem

Abstract

Recently, it was shown that modular symmetry may solve the strong CP problem without axions, by producing a vanishing QCD angle while generating a large quark CP violation phase. We extend this framework to finite modular groups, systematically identifying the allowed mass textures. We find quark fields must furnish 1D representations and scan the minimal model landscape.

arXiv comment19 pages, 2 figures, 3 tables; references added; typos corrected; matches version published in JHEP